y" + 2y' - 48y = 3e²t+4e-2t; y(0) = 0, y'(0) = 1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

IVP = Initial Value Problem

Solve using the Laplace Transformation table when required

f(P)
1
tn
eat
Sin at
Bin hat
coshat
H(s) or L{P{A}
+ 1/s
nl/5n+1
S-n
and
9
5292
5²-92
Transcribed Image Text:f(P) 1 tn eat Sin at Bin hat coshat H(s) or L{P{A} + 1/s nl/5n+1 S-n and 9 5292 5²-92
Solve the following IVP using Laplace Transformation:
y" + 2y' - 48y = 3e²t +4e-2t; y(0) = 0, y'(0) = 1.
Transcribed Image Text:Solve the following IVP using Laplace Transformation: y" + 2y' - 48y = 3e²t +4e-2t; y(0) = 0, y'(0) = 1.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,